He's Iteration Formulation for Solving Nonlinear Algebraic Equations

被引：0
|
作者：
Qian, Wei-Xia [1 ]
Ye, Yan-Hai [1 ]
Chen, Jun [1 ]
Mo, Lu-Feng [1 ]
机构：
[1] Zhejiang Forestry Coll, Dept Informat Engn, Linan 311300, Zhejiang, Peoples R China
来源：
ISND 2007: PROCEEDINGS OF THE 2007 INTERNATIONAL SYMPOSIUM ON NONLINEAR DYNAMICS, PTS 1-4 | 2008年 / 96卷
关键词：
D O I：
10.1088/1742-6596/96/1/012192
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Newton iteration method is sensitive to initial guess and its slope. To overcome the shortcoming, He's iteration method is used to solve nonlinear algebraic equations where Newton iteration method becomes invalid. Some examples are given, showing that the method is effective.
引用
收藏
页数：6
相关论文
共 50 条
  • [1] A remark on He's variational iteration technique for solving nonlinear equations
    Petkovic, M. S.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 233 (04) : 1187 - 1189
  • [2] A Double Iteration Process for Solving the Nonlinear Algebraic Equations, Especially for Ill-posed Nonlinear Algebraic Equations
    Yeih, Weichung
    Chan, I-Yao
    Ku, Cheng-Yu
    Fan, Chia-Ming
    Guan, Pai-Chen
    CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2014, 99 (02): : 123 - 149
  • [3] A double iteration process for solving the nonlinear algebraic equations, especially for ill-posed nonlinear algebraic equations
    Yeih, Weichung
    Chan, I-Yao
    Ku, Cheng-Yu
    Fan, Chia-Ming
    Guan, Pai-Chen
    CMES - Computer Modeling in Engineering and Sciences, 2014, 99 (02): : 123 - 149
  • [4] A new iteration method for solving algebraic equations
    He, JH
    APPLIED MATHEMATICS AND COMPUTATION, 2003, 135 (01) : 81 - 84
  • [5] Application of He’s Variational Iteration Method for Solving Nonlinear BBMB Equations and Free Vibration of Systems
    D. D. Ganji
    H. Babazadeh
    M. H. Jalaei
    H. Tashakkorian
    Acta Applicandae Mathematicae, 2009, 106
  • [6] He's variational iteration method for solving nonlinear mixed Volterra-Fredholm integral equations
    Yousefi, S. A.
    Lotfi, A.
    Dehghan, Mehdi
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (11-12) : 2172 - 2176
  • [7] Application of He's Variational Iteration Method for Solving Nonlinear BBMB Equations and Free Vibration of Systems
    Ganji, D. D.
    Babazadeh, H.
    Jalaei, M. H.
    Tashakkorian, H.
    ACTA APPLICANDAE MATHEMATICAE, 2009, 106 (03) : 359 - 367
  • [8] The convergence of He's variational iteration method for solving integral equations
    Saadati, R.
    Dehghan, M.
    Vaezpour, S. M.
    Saravi, M.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (11-12) : 2167 - 2171
  • [9] He's Variational Iteration Method for Solving Convection Diffusion Equations
    Liu, Yihang
    Zhao, Xinzhu
    ADVANCED INTELLIGENT COMPUTING THEORIES AND APPLICATIONS, 2010, 6215 : 246 - +
  • [10] He's variational iteration method for solving hyperbolic differential equations
    Biazar, J.
    Ghazvini, H.
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2007, 8 (03) : 311 - 314
12345